Nevertheless there is a grain of truth in the 3 prejudice . E three-dimensional Euclidean space is special in a particular way pleasantly familiar to us - in it we also we mathematicians. feel particularly confident and move with a sense of greater safety th... Lees meer.

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject wi... Lees meer.

This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This is a part of what came... Lees meer.

The nonlinear nature of many vision tasks involves analysis over nonlinear spaces embedded in higher dimensional Euclidean spaces. Such manifolds can be studied using the theory of differential geometry. Here we develop two algorithms which can be applied over manifolds... Lees meer.

This monograph is based on the author s results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators rulings in a Riemannian space of nonnegative curvature. This monograph is based on the a... Lees meer.

The first global image that comes to mind is 1-------- - - - - - - that of a stack of plaques . 1--------- - - - - - - Viewed laterally transver 1--------1- - - -- sally the leaves of such a 1--------1 - - - - -. Foliation theory has its origins in the global ana... Lees meer.

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists this book... Lees meer.

This book aims to study on a Riemannian manifold admitting a new special type semi-symmetric metric connection. Firstly it contains a brief knowledge on semi-symmetric metric connection. It represents a special type of semi-symmetric metric connection on a Riemannian m... Lees meer.

This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action. It would definitely prove interesting reading to physicists and mathematici... Lees meer.

However since a Riemannian manifold is even initially a subtle object appealing to highly non-natural concepts the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way fo... Lees meer.

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This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds and on the existence and characterization of volume minimizers it includes proofs of the mos... Lees meer.

Sub-Riemannian geometry has been a full research domain with motivations and ramifications in several parts of pure and applied mathematics. This book provides an introduction to sub-Riemannian geometry. Sub-Riemannian geometry also known as Carnot geometry in Fran... Lees meer.

This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig s earlier book Differential Geometry it is presented in a simple and understandable m... Lees meer.

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1. A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q common to the pathwise components... Lees meer.